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Title: On some numerical scheme of solving diffraction problem on open and closed screens

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.4912620· OSTI ID:22391083
 [1]
  1. Skolkovo Institute of Science and Technology, Moscow Region, 143025 (Russian Federation)

In the paper, the problem of diffraction on thin ideally conductive screens is reduced to vector hypersingular integral equation with integral treated in the sense of finite Hadamard value. An numerical scheme to solve the equation is introduced. The scheme is based on piecewise approximation of unknown function. The advantage of the scheme is that integral of singular part is reduced to contour integral which can be analytically calculated so numerical calculation are significantly accelerated. Several examples of resulting numerical experiments are given in comparison with known theoretical and experimental data.

OSTI ID:
22391083
Journal Information:
AIP Conference Proceedings, Vol. 1648, Issue 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English